Are linear algorithms always good for linear problems?

We exhibit linear problems for which every linear algorithm has infinite error, and show a (mildly) nonlinear algorithm with finite error. The error of this nonlinear algorithm can be arbitrarily small if appropriate information is used. We illustrate these examples by the inversion of a finite Laplace transform, a problem arising in remote sensing.     

羟基铝溶液及铝交联蒙脱土的研究

本文用(27)~Al NMR法和8-羟基喹啉萃取法分别研究了羟基铝溶液中十三聚铝含量的变化规律,还用X-射线衍射法研究了铝交联蒙脱土d_(001)的变化。研究结果表明,铝离子的聚合情况主要由羟铝比决定,而浓度影响不大。随着羟铝比的增加,溶液中单核铝离子含量减少,十三聚铝离子相对含量增加,所得铝交联蒙脱土的d_(001)也随之增大。参照这些变化规律、控制羟基铝溶液的组成,可以制备各种层柱状铝交联蒙脱土复合物。     

单环手性胍催化的对映选择性Henry反应

从取代乙二胺方便地合成了4个手性单环胍．它们催化苯甲醛或异丁基醛同硝 基甲烷的Henry反应．能以较好的产率得到产物，但产物的对映体纯度不高．苯甲 醛Henry反应产物ee值最高为31％，异丁基醛获得的ee值最高为34％．这一反应速 度快，条件温和，是合成手性硝基醇的有效方法．     

准静态和动态加载对裂纹扩展阻力曲线的影响及其关系的研究

对典型压力容器用钢Q345R预制裂纹夏比冲击试样进行示波冲击试验,得到了Q345R钢的载荷-位移曲线,并根据试验数据,利用J积分增量方程和Schindler方法分别计算得到Q345R钢在冲击加载下的动态裂纹扩展阻力曲线(J-R曲线)。然后将动态J-R曲线和准静态加载条件下试验得到的J-R曲线进行对比发现,动态加载条件下的J-R曲线高于准静态加载时得到的结果。最后,建立了动态和准静态加载下J-R曲线之间的关系式,对工程应用具有重要的参考意义。

     

离子液体两相不对称氢甲酰化催化反应的研究

从(R)-BINAP出发制备水溶性磺酸钠盐配体(R)-BINAPS,采用离子液体BF4和PF6为介质,实现其Rh配合物对乙酸乙烯酯的两相不对称氢甲酰化反应.实验结果表明,在以BF4为介质的乙酸乙烯酯不对称氢甲酰化反应中,该催化剂在温和条件下显示出高于相应均相体系的产物ee值和异构醛选择性,并在6次循环使用中,反应产物的ee值、选择性和转化率均无明显改变;在离子液体体系中添加适当的甲苯时,油溶性配体(R)-BINAP与Rh组成的配合物催化剂亦可形成类似的两相反应体系,但其活性和选择性在重复使用中呈明显下降趋势.本文还考察了溶剂体系、膦铑比、温度、压力、时间等的影响,并尝试苯乙烯的两相不对称氢甲酰化反应.     

θ(t)型奇异积分算子的几个有界结果

讨论了θ(t)型奇异积分算子在Banach值LBp(Rn),(1≤pHB1(Rn)上的有界性.     

双轴反复荷载作用下钢筋混凝土空间框架结构滞回全过程分析

实际地震中结构所承受的地震作用是多维的.结构的恢复力特性是反映其抗震性能的一个重要属性.对地震作用下钢筋混凝土柱、梁塑性铰区的计算模型进行了分析,给出了塑性铰区等效长度的简便计算公式;建立了\"有限纤维\"空间线性梁单元模型并推导出了其刚度矩阵;使用\"弥散法\"来考虑梁锚固钢筋在结点区的粘结滑移对结构整体变形的影响.最后使用空间杆系模型对一承受双向反复荷载的框架结构进行了计算分析.分析表明所建立的计算模型是精确有效的.     

Nd:LMA自锁模飞秒激光器腔结构最佳化设计

Nd:LMA晶体相对低的非线性折射率     

K3 surfaces with an order 50 automorphism

In any characteristic p different from 2 and 5, Kondō gave an example of a K3 surface with a purely non-symplectic automorphism of order 50. The surface was explicitly given as a double plane branched along a smooth sextic curve. In this note we show that, in any characteristic $p\ne 2,5$, a K3 surface with a cyclic action of order 50 is isomorphic to the example of Kondō.     

CHIRAL VARIANTS OF ARYLALKYL SULFUR REAGENTS. (R)-CAMPHOR KETIMINES OF OGIOVANNA AMINOTHIOETHERS AND OXIDES

Abstract

Ketimines la-d derived from ortho-aminosubstituted phenylthioethers were prepared in order to determine the degree of chirality transfer from the chiral auxiliary to the sulfur atom in the formation of the sulfoxide or to the α-carbon atom in the reaction of the anion with alkyl halides or benzaldehyde. Oxidation to the sulfoxide occurred with little or no asymmetric induction. The crystalline benzyl sulfone 4c was deprotonated by alkyllithium or Grignard reagents and reacted with alkyl halides and benzaldehyde, in all cases with little to fair transfer of chirality. The major diastereoisomer from methylation of the anion of 4c with methyl iodide, was isolated, and afforded the enantiomerically pure amine 5 after removal of the chiral auxiliary. An X-ray structure determination of 4d allowed the assignment of the absolute configuration of the asymmetric carbon and revealed that the conformation of the ketimine in the crystal state is not homogeneous.